100403181 has 12 divisors (see below), whose sum is σ = 145228252. Its totient is φ = 66842496.

The previous prime is 100403179. The next prime is 100403213. The reversal of 100403181 is 181304001.

It can be written as a sum of positive squares in 2 ways, for example, as 74545956 + 25857225 = 8634^2 + 5085^2 .

It is not a de Polignac number, because 100403181 - 2¹ = 100403179 is a prime.

It is a super-2 number, since 2×100403181² = 20161597509837522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100403131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 556 + ... + 14181.

Almost surely, 2^100403181 is an apocalyptic number.

It is an amenable number.

100403181 is a deficient number, since it is larger than the sum of its proper divisors (44825071).

100403181 is a wasteful number, since it uses less digits than its factorization.

100403181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15500 (or 15497 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 100403181 is about 10020.1387714941. The cubic root of 100403181 is about 464.7818470287.

Adding to 100403181 its reverse (181304001), we get a palindrome (281707182).

The spelling of 100403181 in words is "one hundred million, four hundred three thousand, one hundred eighty-one".